Math Is Fun Forum

(1)  The ratio of three consecutive angles in a cyclic quadrilateral is $2:3:4$. Find the largest angle of the quadrilateral, in degrees.

(2)  Points $A$ and $B$ are on circle $O$ such that arc $AB$ is 80 degrees. A circle is constructed that passes through $A$, $B$, and $O$. Find the measure of arc $AOB$ on this circle.

(3)  In the diagram, $\angle A = 30^\circ$, $\overarc{DE} = 170^\circ$, and $\overarc{BC} = 110^\circ$. Find the measure of arc $CE$, in degrees.
http://latex.artofproblemsolving.com/6/5/3/6531e7a7ad5a4a9b605acf38834256bf2a4cc45d.png